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Finding the Fourth Proportional to 312,872.36, 431,731.89 and 192,018.74

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Solution

The fourth proportional to 312,872.36, 431,731.89 and 192,018.74 is: 264,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,872.36 : 431,731.89 = 192,018.74 : x
  2. Step 2: Convert to fraction form
    312,872.36/431,731.89 = 192,018.74/x
  3. Step 3: Cross multiply
    312,872.36x = 431,731.89 × 192,018.74
  4. Step 4: Simplify right side
    312,872.36x = 82,900,611,376.96
  5. Step 5: Solve for x
    x = 82,900,611,376.96/312,872.36
  6. Step 6: Final answer
    x = 264,966.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.